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202012218 = 23519131167
BaseRepresentation
bin11000000101001…
…11011000111010
3112002010021200000
430002213120322
5403203342333
632013453430
75002034622
oct1402473072
9462107600
10202012218
11a4037851
12577a1276
1332b10175
141cb87882
1512b05713
hexc0a763a

202012218 has 96 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 62927280.

The previous prime is 202012211. The next prime is 202012229. The reversal of 202012218 is 812210202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 202012218.

It is not an unprimeable number, because it can be changed into a prime (202012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209571 + ... + 1209737.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2202012218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202012218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

202012218 is an abundant number, since it is smaller than the sum of its proper divisors (282311622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202012218 is a wasteful number, since it uses less digits than its factorization.

202012218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 202012218 is about 14213.1002247926. The cubic root of 202012218 is about 586.7582604208.

The spelling of 202012218 in words is "two hundred two million, twelve thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 131 162 167 171 243 262 334 342 393 486 501 513 786 1002 1026 1179 1503 1539 2358 2489 3006 3078 3173 3537 4509 4617 4978 6346 7074 7467 9018 9234 9519 10611 13527 14934 19038 21222 21877 22401 27054 28557 31833 40581 43754 44802 57114 63666 65631 67203 81162 85671 131262 134406 171342 196893 201609 257013 393786 403218 415663 514026 590679 604827 771039 831326 1181358 1209654 1246989 1542078 1772037 2493978 3544074 3740967 5316111 7481934 10632222 11222901 22445802 33668703 67337406 101006109 202012218